What is the Least Common Multiple of 62853 and 62860?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 62853 and 62860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62853 and 62860, than apply into the LCM equation.

GCF(62853,62860) = 7
LCM(62853,62860) = ( 62853 × 62860) / 7
LCM(62853,62860) = 3950939580 / 7
LCM(62853,62860) = 564419940

Least Common Multiple (LCM) of 62853 and 62860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62853 and 62860. First we will calculate the prime factors of 62853 and 62860.

Prime Factorization of 62853

Prime Factorization of 62860

Now multiplying the highest exponent prime factors to calculate the LCM of 62853 and 62860.

LCM(62853,62860) = 3¹ × 7¹ × 41¹ × 73¹ × 2² × 5¹ × 449¹
LCM(62853,62860) = 564419940